Respuesta :

Mid-point of (5,3) and (3,1) is (4,2)

Mid-point of (-2,2) and (4,4) is (1,3)

Mid-point of (1,3) and (5,-3) is (3,0)

Mid-point of (-6,-4) and (4,6) is (-1,1)

Step-by-step explanation:

The formula for mid-point is:

[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

1. (5,3) and (3,1)

The mid-point will be:

[tex]M = (\frac{5+3}{2}, \frac{3+1}{2})\\=(\frac{8}{2} , \frac{4}{2})\\=(4,2)[/tex]

2. (-2,2) and (4,4)

[tex]M = (\frac{-2+4}{2}, \frac{2+4}{2})\\=(\frac{2}{2} , \frac{6}{2})\\=(1,3)[/tex]

3. (1,3) and (5,-3)

[tex]M = (\frac{1+5}{2}, \frac{3-3}{2})\\=(\frac{6}{2} , \frac{0}{2})\\=(3,0)[/tex]

4. (-6,-4) and (4,6)

[tex]M = (\frac{-6+4}{2}, \frac{-4+6}{2})\\=(\frac{-2}{2} , \frac{2}{2})\\=(-1,1)[/tex]

Keywords: Coordinate Geometry

Learn more about coordinate geometry at:

  • brainly.com/question/3783529
  • brainly.com/question/3799248

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